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Dynamic Viscosity of Fluid Flow given Torque Formula

GoDynamic Viscosity given Torque exerted on Outer Cylinder Formula

GoDynamic Viscosity given Total Torque Formula

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The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied. Check FAQs

μ = \frac{15 \cdot T \cdot (r 2 - r 1)}{π \cdot π \cdot r 1 \cdot r 1 \cdot r 2 \cdot h \cdot Ω}

μ - Dynamic Viscosity?T - Torque on Inner Cylinder?r₂ - Radius of Outer Cylinder?r₁ - Radius of Inner Cylinder?h - Height of Cylinder?Ω - Angular Speed?π - Archimedes' constant?

Dynamic Viscosity of Fluid Flow given Torque Example

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Here is how the Dynamic Viscosity of Fluid Flow given Torque equation looks like with Values.

Here is how the Dynamic Viscosity of Fluid Flow given Torque equation looks like with Units.

Here is how the Dynamic Viscosity of Fluid Flow given Torque equation looks like.

10.8582 = \frac{15 \cdot 500 \cdot (13 - 12)}{3.1416 \cdot 3.1416 \cdot 12 \cdot 12 \cdot 13 \cdot 11.9 \cdot 5}

10.8582P = \frac{15 \cdot 500kN*m \cdot (13m - 12m)}{3.1416 \cdot 3.1416 \cdot 12m \cdot 12m \cdot 13m \cdot 11.9m \cdot 5rev/s}

10.8582 = \frac{15 \cdot 500 \cdot (13 - 12)}{3.1416 \cdot 3.1416 \cdot 12 \cdot 12 \cdot 13 \cdot 11.9 \cdot 5}

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Dynamic Viscosity of Fluid Flow given Torque Solution

Follow our step by step solution on how to calculate Dynamic Viscosity of Fluid Flow given Torque?

FIRST Step Consider the formula

μ = \frac{15 \cdot T \cdot (r 2 - r 1)}{π \cdot π \cdot r 1 \cdot r 1 \cdot r 2 \cdot h \cdot Ω}

Next Step Substitute values of Variables

∴

μ = \frac{15 \cdot 500kN*m \cdot (13m - 12m)}{π \cdot π \cdot 12m \cdot 12m \cdot 13m \cdot 11.9m \cdot 5rev/s}

Next Step Substitute values of Constants

∴

μ = \frac{15 \cdot 500kN*m \cdot (13m - 12m)}{3.1416 \cdot 3.1416 \cdot 12m \cdot 12m \cdot 13m \cdot 11.9m \cdot 5rev/s}

Next Step Convert Units

∴

μ = \frac{15 \cdot 500000N*m \cdot (13m - 12m)}{3.1416 \cdot 3.1416 \cdot 12m \cdot 12m \cdot 13m \cdot 11.9m \cdot 31.4159rad/s}

Next Step Prepare to Evaluate

∴

μ = \frac{15 \cdot 500000 \cdot (13 - 12)}{3.1416 \cdot 3.1416 \cdot 12 \cdot 12 \cdot 13 \cdot 11.9 \cdot 31.4159}

Next Step Evaluate

∴

μ = 1.08582250709848Pa*s

Next Step Convert to Output's Unit

∴

μ = 10.8582250709848P

LAST Step Rounding Answer

∴

μ = 10.8582P

Dynamic Viscosity of Fluid Flow given Torque Formula Elements

Variables

Constants

Dynamic Viscosity

The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.

Symbol: μ

Measurement: Dynamic ViscosityUnit: P

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity

Torque on Inner Cylinder

The Torque on Inner Cylinder refers to the measure of how much a force acting on a cylinder causing it to rotate.

Symbol: T

Measurement: TorqueUnit: kN*m

Note: Value should be greater than 0.

Formulas to find Torque on Inner Cylinder

Radius of Outer Cylinder

The Radius of Outer Cylinder refers to the spacing for measuring fluid viscosity based on inner cylinder rotation.

Symbol: r₂

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Outer Cylinder

Radius of Inner Cylinder

The Radius of Inner Cylinder refers to the distance from center to inner cylinder's surface, crucial for viscosity measurement.

Symbol: r₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Inner Cylinder

Height of Cylinder

The Height of Cylinder refers to the distance between the lowest and highest points of a person/ shape/ object standing upright.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Cylinder

Angular Speed

The Angular Speed refers to the rate of change of angular displacement.

Symbol: Ω

Measurement: Angular VelocityUnit: rev/s

Note: Value should be greater than 0.

Formulas to find Angular Speed

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Dynamic Viscosity

Go Dynamic Viscosity given Torque exerted on Outer Cylinder

μ = \frac{T o}{π \cdot π \cdot Ω \cdot \frac{{r 1}^{4}}{60 \cdot C}}

Go Dynamic Viscosity given Total Torque

μ = \frac{Τ Torque}{V c \cdot Ω}

Other formulas in Coaxial Cylinder Viscometers category

Go Torque exerted on Inner Cylinder

Τ Torque = 2 \cdot ({(r 1)}^{2}) \cdot h \cdot 𝜏

Go Radius of Inner Cylinder given Torque exerted on Inner Cylinder

r 1 = \sqrt{\frac{T}{2 \cdot π \cdot h \cdot 𝜏}}

Go Height of Cylinder given Torque exerted on Inner Cylinder

h = \frac{T}{2 \cdot π \cdot ({(r 1)}^{2}) \cdot 𝜏}

Go Shear Stress on Cylinder given Torque exerted on Inner Cylinder

𝜏 = \frac{T}{2 \cdot π \cdot ({(r 1)}^{2}) \cdot h}

How to Evaluate Dynamic Viscosity of Fluid Flow given Torque?

Dynamic Viscosity of Fluid Flow given Torque evaluator uses Dynamic Viscosity = (15*Torque on Inner Cylinder*(Radius of Outer Cylinder-Radius of Inner Cylinder))/(pi*pi*Radius of Inner Cylinder*Radius of Inner Cylinder*Radius of Outer Cylinder*Height of Cylinder*Angular Speed) to evaluate the Dynamic Viscosity, The Dynamic Viscosity of Fluid Flow given Torque formula is defined as the resistance offered by fluid on flow due to viscous nature of fluid. Dynamic Viscosity is denoted by μ symbol.

How to evaluate Dynamic Viscosity of Fluid Flow given Torque using this online evaluator? To use this online evaluator for Dynamic Viscosity of Fluid Flow given Torque, enter Torque on Inner Cylinder (T), Radius of Outer Cylinder (r₂), Radius of Inner Cylinder (r₁), Height of Cylinder (h) & Angular Speed (Ω) and hit the calculate button.

FAQs on Dynamic Viscosity of Fluid Flow given Torque

What is the formula to find Dynamic Viscosity of Fluid Flow given Torque?

The formula of Dynamic Viscosity of Fluid Flow given Torque is expressed as Dynamic Viscosity = (15*Torque on Inner Cylinder*(Radius of Outer Cylinder-Radius of Inner Cylinder))/(pi*pi*Radius of Inner Cylinder*Radius of Inner Cylinder*Radius of Outer Cylinder*Height of Cylinder*Angular Speed). Here is an example- 108.5823 = (15*500000*(13-12))/(pi*pi*12*12*13*11.9*31.4159265342981).

How to calculate Dynamic Viscosity of Fluid Flow given Torque?

With Torque on Inner Cylinder (T), Radius of Outer Cylinder (r₂), Radius of Inner Cylinder (r₁), Height of Cylinder (h) & Angular Speed (Ω) we can find Dynamic Viscosity of Fluid Flow given Torque using the formula - Dynamic Viscosity = (15*Torque on Inner Cylinder*(Radius of Outer Cylinder-Radius of Inner Cylinder))/(pi*pi*Radius of Inner Cylinder*Radius of Inner Cylinder*Radius of Outer Cylinder*Height of Cylinder*Angular Speed). This formula also uses Archimedes' constant .

What are the other ways to Calculate Dynamic Viscosity?

Here are the different ways to Calculate Dynamic Viscosity-

Dynamic Viscosity=Torque on Outer Cylinder/(pi*pi*Angular Speed*(Radius of Inner Cylinder^4)/(60*Clearance))
Dynamic Viscosity=Total Torque/(Viscometer Constant*Angular Speed)

Can the Dynamic Viscosity of Fluid Flow given Torque be negative?

No, the Dynamic Viscosity of Fluid Flow given Torque, measured in Dynamic Viscosity cannot be negative.

Which unit is used to measure Dynamic Viscosity of Fluid Flow given Torque?

Dynamic Viscosity of Fluid Flow given Torque is usually measured using the Poise[P] for Dynamic Viscosity. Pascal Second[P], Newton Second per Square Meter[P], Millinewton Second per Square Meter[P] are the few other units in which Dynamic Viscosity of Fluid Flow given Torque can be measured.

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Dynamic Viscosity of Fluid Flow given Torque Formula

​GoDynamic Viscosity given Torque exerted on Outer Cylinder Formula

​GoDynamic Viscosity given Total Torque Formula

Dynamic Viscosity of Fluid Flow given Torque Example

Dynamic Viscosity of Fluid Flow given Torque Solution

Dynamic Viscosity of Fluid Flow given Torque Formula Elements

Other Formulas to find Dynamic Viscosity

Other formulas in Coaxial Cylinder Viscometers category

How to Evaluate Dynamic Viscosity of Fluid Flow given Torque?

FAQs on Dynamic Viscosity of Fluid Flow given Torque

Variable Name

GoDynamic Viscosity given Torque exerted on Outer Cylinder Formula

GoDynamic Viscosity given Total Torque Formula